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» The Cover Time of Deterministic Random Walks
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JCT
2007
108views more  JCT 2007»
13 years 7 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze
MSWIM
2006
ACM
14 years 1 months ago
The power of choice in random walks: an empirical study
In recent years different authors have proposed the used of random-walk-based algorithms for varying tasks in the networking community. These proposals include searching, routing...
Chen Avin, Bhaskar Krishnamachari
SIAMDM
2010
111views more  SIAMDM 2010»
13 years 2 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze
RSA
2011
157views more  RSA 2011»
13 years 2 months ago
The cover time of random geometric graphs
We study the cover time of random geometric graphs. Let I(d) = [0, 1]d denote the unit torus in d dimensions. Let D(x, r) denote the ball (disc) of radius r. Let Υd be the volume...
Colin Cooper, Alan M. Frieze
ENDM
2006
70views more  ENDM 2006»
13 years 7 months ago
Quasirandomness in Graphs
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
Benjamin Doerr, Tobias Friedrich